(C) The power of a combination of thin lenses in contact is given by the algebraic sum of their individual powers: $P_{net} = P_1 + P_2$.Given $P_1 =

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

a convergent lens of focal length $100 \, cm$

(C) The power of a combination of thin lenses in contact is given by the algebraic sum of their individual powers: $P_{net} = P_1 + P_2$.Given $P_1 = +2 \, D$ and $P_2 = -1 \, D$.$P_{net} = (+2) + (-1) = +1 \, D$.Since the net power is positive,the combination behaves as a convergent (convex) lens.The focal length $f$ is given by $f = \frac{1}{P_{net}}$ (in meters).$f = \frac{1}{1} = 1 \, m = 100 \, cm$.Therefore,the combination behaves like a convergent lens of focal length $100 \, cm$.

Class 12 Physics Ray Optics and Optical Instruments Combination of Lenses

Medium

$A$ lens of power $+2$ diopters is placed in contact with a lens of power $-1$ diopter. The combination will behave like

A
a convergent lens of focal length $50 \, cm$
B
a divergent lens of focal length $100 \, cm$
C
a convergent lens of focal length $100 \, cm$
D
a convergent lens of focal length $200 \, cm$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Ray Optics and Optical Instruments

Subtopic

Combination of Lenses

$A$ convergent lens is placed $40 \,cm$ to the right of a diverging lens of focal length $15 \,cm$. $A$ parallel beam of light enters the diverging lens from the left, and the beam is again parallel when it emerges from the convergent lens. The focal length of the convergent lens is (in $\,cm$)

EasyAP EAMCET 2022

View Solution

Curved surfaces of a plano-convex lens of refractive index $\mu_{1}$ and a plano-concave lens of refractive index $\mu_{2}$ have equal radius of curvature as shown in the figure. Find the ratio of the radius of curvature to the focal length of the combined lenses.

DifficultJEE MAIN 2021

View Solution

What is the focal length of a convex lens of focal length $30 \ cm$ in contact with a concave lens of focal length $10 \ cm$? (Ignore the thickness of the lenses.)

EasyGUJCET 2022

View Solution

Two identical glass $(\mu_g = 3/2)$ equiconvex lenses of focal length $f$ each are kept in contact. The space between the two lenses is filled with water $(\mu_w = 4/3).$ The focal length of the combination is

DifficultNEET 2016

View Solution

$A$ combination of two thin convex lenses of focal lengths $0.3 \, m$ and $0.1 \, m$ will have minimum spherical and chromatic aberrations if the distance between them is . . . . . . $m$.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ lens of power $+2$ diopters is placed in contact with a lens of power $-1$ diopter. The combination will behave like

Similar Questions

$A$ convergent lens is placed $40 \,cm$ to the right of a diverging lens of focal length $15 \,cm$. $A$ parallel beam of light enters the diverging lens from the left, and the beam is again parallel when it emerges from the convergent lens. The focal length of the convergent lens is (in $\,cm$)

Curved surfaces of a plano-convex lens of refractive index $\mu_{1}$ and a plano-concave lens of refractive index $\mu_{2}$ have equal radius of curvature as shown in the figure. Find the ratio of the radius of curvature to the focal length of the combined lenses.

What is the focal length of a convex lens of focal length $30 \ cm$ in contact with a concave lens of focal length $10 \ cm$? (Ignore the thickness of the lenses.)

Two identical glass $(\mu_g = 3/2)$ equiconvex lenses of focal length $f$ each are kept in contact. The space between the two lenses is filled with water $(\mu_w = 4/3).$ The focal length of the combination is

$A$ combination of two thin convex lenses of focal lengths $0.3 \, m$ and $0.1 \, m$ will have minimum spherical and chromatic aberrations if the distance between them is . . . . . . $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module